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Finding the Fourth Proportional to 13,294.98, 19,942.25 and 3,433.46

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Solution

The fourth proportional to 13,294.98, 19,942.25 and 3,433.46 is: 5,150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.98 : 19,942.25 = 3,433.46 : x
  2. Step 2: Convert to fraction form
    13,294.98/19,942.25 = 3,433.46/x
  3. Step 3: Cross multiply
    13,294.98x = 19,942.25 × 3,433.46
  4. Step 4: Simplify right side
    13,294.98x = 68,470,800.81
  5. Step 5: Solve for x
    x = 68,470,800.81/13,294.98
  6. Step 6: Final answer
    x = 5,150.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.